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Finding the Third Proportional to 144,554.63 and 211,896.84

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Solution

The third proportional to 144,554.63 and 211,896.84 is: 310,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,554.63 : 211,896.84 = 211,896.84 : x
  2. Step 2: Convert to fraction form
    144,554.63/211,896.84 = 211,896.84/x
  3. Step 3: Cross multiply
    144,554.63x = 211,896.84 × 211,896.84
  4. Step 4: Simplify right side
    144,554.63x = 44,900,272,391.21
  5. Step 5: Solve for x
    x = 44,900,272,391.21/144,554.63
  6. Step 6: Final answer
    x = 310,611.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.